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Paper Citation Record · LEDGER

Facets of spherical random polytopes

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:1908.04033.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.04033 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:08:14.871840Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

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  • verified fuzzy32
  • unresolved3
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 27b1940b-46bf-4569-af33-0eb702116261 · outbound

This paper cites Volume degeneracy of t he typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions.

Facets of spherical random polytopes Volume degeneracy of t he typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions

Reference 1

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Observation d0e3993b-67ae-417d-a5f3-a0a2130b97a5 · outbound

This paper cites On the isotropy constant of random convex sets.

Facets of spherical random polytopes On the isotropy constant of random convex sets

Reference 2

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Observation 16de0cb1-800a-4e36-8513-529b9075af68 · outbound

This paper cites Litvak, and Nicole Tomcz ak-Jaegermann.

Facets of spherical random polytopes Litvak, and Nicole Tomcz ak-Jaegermann

Reference 3

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Observation 795f27fa-391f-4d19-9133-30ff31d8b7e7 · outbound

This paper cites Asymptotic normality for random simplices and convex bodies in high dimensions.

Facets of spherical random polytopes Asymptotic normality for random simplices and convex bodies in high dimensions

Reference 4

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f469677d-7ae9-4730-8c5c-4b062b8c335f · outbound

This paper cites Random polytopes, convex bodies, and approximation.

Facets of spherical random polytopes Random polytopes, convex bodies, and approximation

Reference 5

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Observation b084fe7e-f126-407c-af32-9cd1e2127802 · outbound

This paper cites Central limit theorems for gaussian polytopes.

Facets of spherical random polytopes Central limit theorems for gaussian polytopes

Reference 6

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Observation 3e9ab427-6d6c-48dd-9e4c-187e268de135 · outbound

This paper cites Threshold phenomena for high-dimensional random polytopes.

Facets of spherical random polytopes Threshold phenomena for high-dimensional random polytopes

Reference 7

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Observation ea0c32d1-eb90-4506-959b-e1a2b8649d6a · outbound

This paper cites Monotonic- ity of facet numbers of random convex hulls.

Facets of spherical random polytopes Monotonic- ity of facet numbers of random convex hulls

Reference 8

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Observation 6c496f75-4713-4be9-b6dd-119969539ad2 · outbound

This paper cites Facets of high-dimensional Gaussian polytopes.

Facets of spherical random polytopes Facets of high-dimensional Gaussian polytopes

Reference 9

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Observation 1dd0fd27-9efc-40de-be84-7f08a9743e73 · outbound

This paper cites M¨ uller, and Robert F.

Facets of spherical random polytopes M¨ uller, and Robert F

Reference 10

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Observation 71277182-fcdc-4a27-89c7-ceebad9b254d · outbound

This paper cites Distribution of angles in random packing on spheres.

Facets of spherical random polytopes Distribution of angles in random packing on spheres

Reference 11

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Observation 7cb805fa-69c5-4d76-8c15-b90440db4ece · outbound

This paper cites Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing m atrices.

Facets of spherical random polytopes Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing m atrices

Reference 12

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Observation 15195f1e-eecb-4c94-abdb-cdcbd6f16e71 · outbound

This paper cites Near-optimal recovery f rom random projections: Universal encoding strategies? IEEE Transactions on Information Theory , 12:5406–5425, 2006.

Facets of spherical random polytopes Near-optimal recovery f rom random projections: Universal encoding strategies? IEEE Transactions on Information Theory , 12:5406–5425, 2006

Reference 13

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Observation 186333b6-629d-4e99-91c4-2968e94de90f · outbound

This paper cites The Dantzig selector: Sta tistical estimation when p is much larger than n.

Facets of spherical random polytopes The Dantzig selector: Sta tistical estimation when p is much larger than n

Reference 14

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Observation df347bc3-5dba-4fb7-a488-8850138e231b · outbound

This paper cites Giannopoulos, and Olivier Gu´ edon.

Facets of spherical random polytopes Giannopoulos, and Olivier Gu´ edon

Reference 15

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Observation 3c94d7d3-feea-442e-a0bc-2045303f7b53 · outbound

This paper cites an unresolved cited work.

Facets of spherical random polytopes Unresolved cited work

Reference 16

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Observation 78630933-8f39-4394-80f8-a39d5c1e73db · outbound

This paper cites Random inscribed p olytopes have similar radius functions as Poisson-Delaunay mosaics.

Facets of spherical random polytopes Random inscribed p olytopes have similar radius functions as Poisson-Delaunay mosaics

Reference 17

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Observation 6d4947c9-7e9e-40e3-acd0-d9219089e842 · outbound

This paper cites Network Information Theory.

Facets of spherical random polytopes Network Information Theory

Reference 18

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Observation 7a7bf0fb-8d09-40a8-af03-45de4642be13 · outbound

This paper cites Some elementary inequalities relating to the gam ma and incomplete gamma function.

Facets of spherical random polytopes Some elementary inequalities relating to the gam ma and incomplete gamma function

Reference 19

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Observation 955fc513-6dc3-4500-8071-1ee23e12df1c · outbound

This paper cites Asymptotic approximation of smooth convex bodies by polytopes.

Facets of spherical random polytopes Asymptotic approximation of smooth convex bodies by polytopes

Reference 20

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Observation 6d589ad7-c83d-4345-8e7a-a4f8f7caff26 · outbound

This paper cites Limit theorems for random simplices in high dimensions.

Facets of spherical random polytopes Limit theorems for random simplices in high dimensions

Reference 21

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Observation 42459cf5-4501-4e38-9628-eff6f5444695 · outbound

This paper cites Random polytopes.

Facets of spherical random polytopes Random polytopes

Reference 22

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Observation 6d0ad20c-ae24-4611-a2f3-5522c2c95464 · outbound

This paper cites Poisson polyhedra in high dimensions.

Facets of spherical random polytopes Poisson polyhedra in high dimensions

Reference 23

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Observation c26c8fb4-8010-49bc-a936-b57b734b1191 · outbound

This paper cites On th e isotropic constant of random polytopes with vertices on an ℓp-sphere.

Facets of spherical random polytopes On th e isotropic constant of random polytopes with vertices on an ℓp-sphere

Reference 24

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Observation 493bcc53-dd13-4b90-87e2-c130e6072667 · outbound

This paper cites Ex pected intrinsic volumes and facet numbers of random beta-polytopes.

Facets of spherical random polytopes Ex pected intrinsic volumes and facet numbers of random beta-polytopes

Reference 25

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Observation 14ac384b-2ad9-460f-b875-fae3b104af4f · outbound

This paper cites Beta polytopes and poisson polyhedra: f-vectors and angles.

Facets of spherical random polytopes Beta polytopes and poisson polyhedra: f-vectors and angles

Reference 26

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raw_fallback, observed 2026-08-14T14:08:15.073956Z

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Observation 6d2a8ba7-0afd-4bb8-a175-e4184207c18c · outbound

This paper cites On the hyperplane conjecture f or random convex sets.

Facets of spherical random polytopes On the hyperplane conjecture f or random convex sets

Reference 27

Resolution
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raw_fallback, observed 2026-08-14T14:08:15.063937Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.825712Z digest=sha256:8ad3c13f5ef8a1e90cac7b6a0174eb3dfe89246a802aadc60c809404f36d80f9

Observation 2c0da58f-9052-4f09-a22f-cad3946391f6 · outbound

This paper cites Thin-shell concentration for zero cells of stationary Poisson mosaics.

Facets of spherical random polytopes Thin-shell concentration for zero cells of stationary Poisson mosaics

Reference 28

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local_arxiv, observed 2026-08-14T14:08:14.921081Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.829513Z digest=sha256:9c416ef0869e5785b64ca6dbcdd4371c615afa7f3b9b816d343bcee7b582c67f

Observation 7f263176-4a80-47a3-89ef-495e88986079 · outbound

This paper cites The stochastic geometry of unconstrained one-bit data compression.

Facets of spherical random polytopes The stochastic geometry of unconstrained one-bit data compression

Reference 29

Resolution
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local_arxiv, observed 2026-08-14T14:08:14.906151Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.833234Z digest=sha256:f35ee0051d0c6583e4d9fb4d09d8538061f3a2bb99dadddee5996b48d8ba27f5

Observation 56aa459c-13b3-456e-9e62-39d53e4810c9 · outbound

This paper cites The isotr opic constant of random polytopes with vertices on convex surfaces.

Facets of spherical random polytopes The isotr opic constant of random polytopes with vertices on convex surfaces

Reference 30

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raw_fallback, observed 2026-08-14T14:08:15.053416Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0de9a047-e752-4dcd-95a3-20c3d7b11b95 · outbound

This paper cites Central limit theorems for random polytope s.

Facets of spherical random polytopes Central limit theorems for random polytope s

Reference 31

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raw_fallback, observed 2026-08-14T14:08:15.042563Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.841637Z digest=sha256:75c44bc9e52e78c0cad71b5f35f94f02eaf631de45e989ab05f3f2c833047ebf

Observation f1dab189-a0c6-4374-b1a2-8ee113ed8394 · outbound

This paper cites Richardson, Van H.

Facets of spherical random polytopes Richardson, Van H

Reference 32

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raw_fallback, observed 2026-08-14T14:08:15.032826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.845041Z digest=sha256:fbdb25c7ae78743c6103501f7a068e2f01f47a91146429637053c64da194c098

Observation 3fab17ca-da25-4574-9719-281dfaae9187 · outbound

This paper cites Stochastic and Integral Geometry.

Facets of spherical random polytopes Stochastic and Integral Geometry

Reference 33

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raw_fallback, observed 2026-08-14T14:08:15.022909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 49f815c7-16d8-4f03-9f3c-3ccc3b5661c5 · outbound

This paper cites an unresolved cited work.

Facets of spherical random polytopes Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.852780Z digest=sha256:7f1b424c08f4346e5044ffccc35090c1049808b5ed4f1faf34c880dc6d6dd13c

Observation bea5b95f-8ac9-4992-a699-468ffe27afbe · outbound

This paper cites Central limit theorem for the volume of rando m polytopes with vertices on the bound- ary.

Facets of spherical random polytopes Central limit theorem for the volume of rando m polytopes with vertices on the bound- ary

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-14T14:08:15.003221Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.857041Z digest=sha256:d0d0e358c204de8a450f4d9ed10e0b4f76d2e5ff925c009886c9ee89028eee99

Observation 2b8e5ac4-1156-48f0-8174-4096d728813b · outbound

This paper cites Limit theorems for random polyto pes with vertices on convex surfaces.

Facets of spherical random polytopes Limit theorems for random polyto pes with vertices on convex surfaces

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:08:14.992608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.860603Z digest=sha256:5d32afb0742137efb1475603a365fa8e811c51e16ce3bfc2ada636959ff521b3

Observation a970fa1e-c1d2-4bd6-bca6-328d917d7d72 · outbound

This paper cites Central limit theorems for random polytopes in a smooth convex set.

Facets of spherical random polytopes Central limit theorems for random polytopes in a smooth convex set

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:08:14.982389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.864098Z digest=sha256:76a217e9a37f778a8021dafaf3b1a8979809aec3d7b19cbc8631a0bb890f430d

Observation 0d17a000-c679-49d1-8fde-c7d7a70c2e5a · outbound

This paper cites an unresolved cited work.

Facets of spherical random polytopes Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:08:14.972125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.867531Z digest=sha256:1f9f93ebf60efd81bbba7804955bdc2f499f1b35dc3c17f1be0c8fb93c48cbb0

Observation ff42a654-f180-4b58-9662-41b5059f49e9 · outbound

This paper cites Asymptotic approximations of integrals , volume 34.

Facets of spherical random polytopes Asymptotic approximations of integrals , volume 34

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:08:14.961365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:08:14.871840Z digest=sha256:bae593988332c6e01fd3fd640b7adcca6faf0bc8b1c96d7771e9a196c68adb9b

Pith citing papers

No inbound Pith citation observations are available.